File:Isospectral drums.svg
Size of this PNG preview of this SVG file: 333 × 162 pixels. Other resolutions: 320 × 156 pixels | 640 × 311 pixels | 1,024 × 498 pixels | 1,280 × 623 pixels | 2,560 × 1,245 pixels.
Original file (SVG file, nominally 333 × 162 pixels, file size: 7 KB)
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English: Two drums with these shapes have the same harmonics. See w:Hearing the shape of a drum for details.
Français : Le spectre du laplacien est le même pour ces deux domaines plans.
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This work has been released into the public domain by its author, Jitse Niesen, at the English Wikipedia project. This applies worldwide. In case this is not legally possible: |
This picture is produced by the following XFig file:
#FIG 3.2 Produced by xfig version 3.2.5-alpha5 Landscape Center Metric A4 100.00 Single -2 1200 2 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 450 1800 450 0 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 900 0 900 1800 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 1350 1800 1350 0 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 1800 0 1800 1800 2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 2 225 1800 2025 1800 2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 2 225 1800 225 0 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 225 225 2025 225 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 225 675 2025 675 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 225 1125 2025 1125 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 225 1575 2025 1575 2 3 0 4 15 -1 49 -1 -1 0.000 0 0 -1 0 0 9 900 225 450 675 900 1125 1350 1125 1350 1575 1800 1125 1800 675 900 675 900 225 2 3 0 0 -1 3 51 -1 20 0.000 0 0 -1 0 0 9 900 225 450 675 900 1125 1350 1125 1350 1575 1800 1125 1800 675 900 675 900 225 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 2700 1800 2700 0 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 3150 0 3150 1800 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 3600 1800 3600 0 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 4050 0 4050 1800 2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 2 2475 1800 4275 1800 2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 2 2475 1800 2475 0 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 2475 225 4275 225 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 2475 675 4275 675 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 2475 1125 4275 1125 2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2 2475 1575 4275 1575 2 3 0 4 15 -1 49 -1 -1 0.000 0 0 -1 0 0 9 3150 225 2700 225 2700 675 3600 1575 3600 1125 4050 1125 3600 675 3150 675 3150 225 2 3 0 0 -1 3 51 -1 20 0.000 0 0 -1 0 0 9 3150 225 2700 225 2700 675 3600 1575 3600 1125 4050 1125 3600 675 3150 675 3150 225 4 1 0 50 -1 0 12 0.0000 4 135 105 450 2025 0\001 4 1 0 50 -1 0 12 0.0000 4 150 105 900 2025 1\001 4 1 0 50 -1 0 12 0.0000 4 135 105 1350 2025 2\001 4 1 0 50 -1 0 12 0.0000 4 150 105 1800 2025 3\001 4 2 0 50 -1 0 12 0.0000 4 135 105 180 1620 0\001 4 2 0 50 -1 0 12 0.0000 4 150 105 180 1170 1\001 4 2 0 50 -1 0 12 0.0000 4 135 105 180 720 2\001 4 2 0 50 -1 0 12 0.0000 4 150 105 180 270 3\001 4 1 0 50 -1 0 12 0.0000 4 135 105 2700 2025 0\001 4 1 0 50 -1 0 12 0.0000 4 150 105 3150 2025 1\001 4 1 0 50 -1 0 12 0.0000 4 135 105 3600 2025 2\001 4 1 0 50 -1 0 12 0.0000 4 150 105 4050 2025 3\001 4 2 0 50 -1 0 12 0.0000 4 135 105 2430 1620 0\001 4 2 0 50 -1 0 12 0.0000 4 150 105 2430 1170 1\001 4 2 0 50 -1 0 12 0.0000 4 135 105 2430 720 2\001 4 2 0 50 -1 0 12 0.0000 4 150 105 2430 270 3\001
Exported to SVG by Keenan Pepper.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 01:05, 16 September 2007 | | 333 × 162 (7 KB) | Keenan Pepper | Two drums with these shapes have the same harmonics. See Hearing the shape of a drum for details. {{PD-user-w|en|English Wikipedia|Jitse Niesen}} This picture is produced by the following XFig file: #FIG 3.2 Produced by xfig version 3.2.5-alpha5 |
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